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   &#160;<span id="projectnumber">2.4.0</span>
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   <div id="projectbrief">A Templatized Header Only C++ Implementation of the Python NumPy Library</div>
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<div class="title">stdev.hpp</div>  </div>
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<a href="stdev_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_types_8hpp.html">NumCpp/Core/Types.hpp</a>&quot;</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="mean_8hpp.html">NumCpp/Functions/mean.hpp</a>&quot;</span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_nd_array_8hpp.html">NumCpp/NdArray.hpp</a>&quot;</span></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sqr_8hpp.html">NumCpp/Utils/sqr.hpp</a>&quot;</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160; </div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;complex&gt;</span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160; </div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacenc.html">nc</a></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;{</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="comment">//============================================================================</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="comment">// Method Description:</span></div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtype&gt;</div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="namespacenc.html#ae197a8efaeeebe00c6e886b779ec1a43">   53</a></span>&#160;    <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> <a class="code" href="namespacenc.html#ae197a8efaeeebe00c6e886b779ec1a43">stdev</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; inArray, <a class="code" href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84">Axis</a> inAxis = <a class="code" href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84ab50339a10e1de285ac99d4c3990b8693">Axis::NONE</a>) </div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    {</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <a class="code" href="_static_asserts_8hpp.html#a36abb32368b91aed0d3133a4cfd5ae92">STATIC_ASSERT_ARITHMETIC</a>(dtype);</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160; </div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordtype">double</span> meanValue = 0.0;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> = 0.0;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keyword">const</span> <span class="keyword">auto</span> <span class="keyword">function</span> = [&amp;<a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a>, &amp;meanValue](dtype value) -&gt; <span class="keywordtype">void</span></div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        {</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            <a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> += <a class="code" href="namespacenc_1_1utils.html#ae792e10a24b7e5b8291a6c31a28a4512">utils::sqr</a>(<span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(value) - meanValue);</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        };</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordflow">switch</span> (inAxis)</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        {</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            <span class="keywordflow">case</span> <a class="code" href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84ab50339a10e1de285ac99d4c3990b8693">Axis::NONE</a>:</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            {</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                meanValue = <a class="code" href="namespacenc.html#ae215351046b49fec834d006fd35a4078">mean</a>(inArray, inAxis).<a class="code" href="classnc_1_1_nd_array.html#abec76b8f271e07fa07cc2f88fed676fa">item</a>();</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                <a class="code" href="namespacenc_1_1stl__algorithms.html#a734698435eabdbc5bdf93b195d7fb6a7">std::for_each</a>(inArray.<a class="code" href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">cbegin</a>(), inArray.<a class="code" href="classnc_1_1_nd_array.html#aa16bc96e4bbafbc8a06743f3e4a10a6a">cend</a>(), <span class="keyword">function</span>);</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160; </div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> returnArray = { <a class="code" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">std::sqrt</a>(<a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> / inArray.<a class="code" href="classnc_1_1_nd_array.html#a055875abbe80163ca91328c0fa8ffbfa">size</a>()) };</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            }</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;            <span class="keywordflow">case</span> <a class="code" href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84aa44a065875f5d66d41474bb9bfb0ce05">Axis::COL</a>:</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;            {</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> meanValueArray = <a class="code" href="namespacenc.html#ae215351046b49fec834d006fd35a4078">mean</a>(inArray, inAxis);</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> returnArray(1, inArray.<a class="code" href="classnc_1_1_nd_array.html#a2dbdc72c98c216a133f7e1a8d3c067f7">numRows</a>());</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> row = 0; row &lt; inArray.<a class="code" href="classnc_1_1_nd_array.html#a2dbdc72c98c216a133f7e1a8d3c067f7">numRows</a>(); ++row)</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                {</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                    meanValue = meanValueArray[row];</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                    <a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> = 0.0;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                    <a class="code" href="namespacenc_1_1stl__algorithms.html#a734698435eabdbc5bdf93b195d7fb6a7">std::for_each</a>(inArray.<a class="code" href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">cbegin</a>(row), inArray.<a class="code" href="classnc_1_1_nd_array.html#aa16bc96e4bbafbc8a06743f3e4a10a6a">cend</a>(row), <span class="keyword">function</span>);</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160; </div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                    returnArray(0, row) = <a class="code" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">std::sqrt</a>(<a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> / inArray.<a class="code" href="classnc_1_1_nd_array.html#a0049b5d6d1d99463edc773f01eb7c091">numCols</a>());</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                }</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;            }</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;            <span class="keywordflow">case</span> <a class="code" href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84a54c1ed33c810f895d48c008d89f880b7">Axis::ROW</a>:</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;            {</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> meanValueArray = <a class="code" href="namespacenc.html#ae215351046b49fec834d006fd35a4078">mean</a>(inArray, inAxis);</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a> transposedArray = inArray.<a class="code" href="classnc_1_1_nd_array.html#a78c99f8306415d8e0ac0e03bb69c6d29">transpose</a>();</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> returnArray(1, transposedArray.<a class="code" href="classnc_1_1_nd_array.html#a2dbdc72c98c216a133f7e1a8d3c067f7">numRows</a>());</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> row = 0; row &lt; transposedArray.<a class="code" href="classnc_1_1_nd_array.html#a2dbdc72c98c216a133f7e1a8d3c067f7">numRows</a>(); ++row)</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                {</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                    meanValue = meanValueArray[row];</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                    <a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> = 0.0;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;                    <a class="code" href="namespacenc_1_1stl__algorithms.html#a734698435eabdbc5bdf93b195d7fb6a7">std::for_each</a>(transposedArray.<a class="code" href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">cbegin</a>(row), transposedArray.<a class="code" href="classnc_1_1_nd_array.html#aa16bc96e4bbafbc8a06743f3e4a10a6a">cend</a>(row), <span class="keyword">function</span>);</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160; </div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                    returnArray(0, row) = <a class="code" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">std::sqrt</a>(<a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> / transposedArray.<a class="code" href="classnc_1_1_nd_array.html#a0049b5d6d1d99463edc773f01eb7c091">numCols</a>());</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                }</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160; </div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;            }</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;            <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;            {</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                <a class="code" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;Unimplemented axis type.&quot;</span>);</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                <span class="keywordflow">return</span> {}; <span class="comment">// get rid of compiler warning</span></div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            }</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        }</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;    }</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160; </div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    <span class="comment">//============================================================================</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <span class="comment">// Method Description:</span></div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;<span class="comment"></span>    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtype&gt;</div>
<div class="line"><a name="l00126"></a><span class="lineno"><a class="line" href="namespacenc.html#a60ac1ab2f35e50531ef0f12be00d89c8">  126</a></span>&#160;    <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;double&gt;</a>&gt; <a class="code" href="namespacenc.html#ae197a8efaeeebe00c6e886b779ec1a43">stdev</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray</a>&lt;std::complex&lt;dtype&gt;&gt;&amp; inArray, <a class="code" href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84">Axis</a> inAxis = <a class="code" href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84ab50339a10e1de285ac99d4c3990b8693">Axis::NONE</a>) </div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    {</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <a class="code" href="_static_asserts_8hpp.html#a36abb32368b91aed0d3133a4cfd5ae92">STATIC_ASSERT_ARITHMETIC</a>(dtype);</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160; </div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        std::complex&lt;double&gt; meanValue(0.0, 0.0);</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        std::complex&lt;double&gt; <a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a>(0.0, 0.0);</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160; </div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keyword">const</span> <span class="keyword">auto</span> <span class="keyword">function</span> = [&amp;<a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a>, &amp;meanValue](std::complex&lt;dtype&gt; value) -&gt; <span class="keywordtype">void</span></div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        {</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            <a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> += <a class="code" href="namespacenc_1_1utils.html#ae792e10a24b7e5b8291a6c31a28a4512">utils::sqr</a>(complex_cast&lt;double&gt;(value) - meanValue);</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        };</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160; </div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="keywordflow">switch</span> (inAxis)</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        {</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;            <span class="keywordflow">case</span> <a class="code" href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84ab50339a10e1de285ac99d4c3990b8693">Axis::NONE</a>:</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            {</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                meanValue = <a class="code" href="namespacenc.html#ae215351046b49fec834d006fd35a4078">mean</a>(inArray, inAxis).<a class="code" href="classnc_1_1_nd_array.html#abec76b8f271e07fa07cc2f88fed676fa">item</a>();</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                <a class="code" href="namespacenc_1_1stl__algorithms.html#a734698435eabdbc5bdf93b195d7fb6a7">std::for_each</a>(inArray.cbegin(), inArray.cend(), <span class="keyword">function</span>);</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160; </div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;double&gt;</a>&gt; returnArray = { <a class="code" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">std::sqrt</a>(<a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> / <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(inArray.size())) };</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;                <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            }</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;            <span class="keywordflow">case</span> <a class="code" href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84aa44a065875f5d66d41474bb9bfb0ce05">Axis::COL</a>:</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;            {</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;double&gt;</a>&gt; meanValueArray = <a class="code" href="namespacenc.html#ae215351046b49fec834d006fd35a4078">mean</a>(inArray, inAxis);</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;double&gt;</a>&gt; returnArray(1, inArray.numRows());</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;                <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> row = 0; row &lt; inArray.numRows(); ++row)</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;                {</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;                    meanValue = meanValueArray[row];</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;                    <a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> = std::complex&lt;double&gt;(0.0, 0.0);</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;                    <a class="code" href="namespacenc_1_1stl__algorithms.html#a734698435eabdbc5bdf93b195d7fb6a7">std::for_each</a>(inArray.cbegin(row), inArray.cend(row), <span class="keyword">function</span>);</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160; </div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;                    returnArray(0, row) = <a class="code" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">std::sqrt</a>(<a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> / <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(inArray.numCols()));</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;                }</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160; </div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;                <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;            }</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;            <span class="keywordflow">case</span> <a class="code" href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84a54c1ed33c810f895d48c008d89f880b7">Axis::ROW</a>:</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;            {</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;double&gt;</a>&gt; meanValueArray = <a class="code" href="namespacenc.html#ae215351046b49fec834d006fd35a4078">mean</a>(inArray, inAxis);</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;dtype&gt;</a>&gt; transposedArray = inArray.<a class="code" href="classnc_1_1_nd_array.html#a78c99f8306415d8e0ac0e03bb69c6d29">transpose</a>();</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;std::complex&lt;double&gt;</a>&gt; returnArray(1, transposedArray.<a class="code" href="classnc_1_1_nd_array.html#a2dbdc72c98c216a133f7e1a8d3c067f7">numRows</a>());</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;                <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#af0f49663fb63332596e2e6327009d581">uint32</a> row = 0; row &lt; transposedArray.<a class="code" href="classnc_1_1_nd_array.html#a2dbdc72c98c216a133f7e1a8d3c067f7">numRows</a>(); ++row)</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;                {</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;                    meanValue = meanValueArray[row];</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;                    <a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> = std::complex&lt;double&gt;(0.0, 0.0);</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;                    <a class="code" href="namespacenc_1_1stl__algorithms.html#a734698435eabdbc5bdf93b195d7fb6a7">std::for_each</a>(transposedArray.<a class="code" href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">cbegin</a>(row), transposedArray.<a class="code" href="classnc_1_1_nd_array.html#aa16bc96e4bbafbc8a06743f3e4a10a6a">cend</a>(row), <span class="keyword">function</span>);</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160; </div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;                    returnArray(0, row) = <a class="code" href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">std::sqrt</a>(<a class="code" href="namespacenc.html#aa14c0f092bfdc980c656bf6bf58bfc67">sum</a> / <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(transposedArray.<a class="code" href="classnc_1_1_nd_array.html#a0049b5d6d1d99463edc773f01eb7c091">numCols</a>()));</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;                }</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160; </div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;                <span class="keywordflow">return</span> returnArray;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;            }</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;            <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;            {</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;                <a class="code" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;Unimplemented axis type.&quot;</span>);</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;                <span class="keywordflow">return</span> {}; <span class="comment">// get rid of compiler warning</span></div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;            }</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;        }</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    }</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;}  <span class="comment">// namespace nc</span></div>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<div class="ttc" id="aclassnc_1_1_nd_array_html_abec76b8f271e07fa07cc2f88fed676fa"><div class="ttname"><a href="classnc_1_1_nd_array.html#abec76b8f271e07fa07cc2f88fed676fa">nc::NdArray::item</a></div><div class="ttdeci">value_type item() const</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:2975</div></div>
<div class="ttc" id="anamespacenc_html_a5edb9ac6f596ae1256faa3f5d797dc84ab50339a10e1de285ac99d4c3990b8693"><div class="ttname"><a href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84ab50339a10e1de285ac99d4c3990b8693">nc::Axis::NONE</a></div><div class="ttdeci">@ NONE</div></div>
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<div class="ttc" id="anamespacenc_html_a5edb9ac6f596ae1256faa3f5d797dc84a54c1ed33c810f895d48c008d89f880b7"><div class="ttname"><a href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84a54c1ed33c810f895d48c008d89f880b7">nc::Axis::ROW</a></div><div class="ttdeci">@ ROW</div></div>
<div class="ttc" id="anamespacenc_html_a941a5a1ffb61387495a6f23dc4036287"><div class="ttname"><a href="namespacenc.html#a941a5a1ffb61387495a6f23dc4036287">nc::sqrt</a></div><div class="ttdeci">auto sqrt(dtype inValue) noexcept</div><div class="ttdef"><b>Definition:</b> sqrt.hpp:50</div></div>
<div class="ttc" id="anamespacenc_html_ae215351046b49fec834d006fd35a4078"><div class="ttname"><a href="namespacenc.html#ae215351046b49fec834d006fd35a4078">nc::mean</a></div><div class="ttdeci">NdArray&lt; double &gt; mean(const NdArray&lt; dtype &gt; &amp;inArray, Axis inAxis=Axis::NONE)</div><div class="ttdef"><b>Definition:</b> mean.hpp:53</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a78c99f8306415d8e0ac0e03bb69c6d29"><div class="ttname"><a href="classnc_1_1_nd_array.html#a78c99f8306415d8e0ac0e03bb69c6d29">nc::NdArray::transpose</a></div><div class="ttdeci">NdArray&lt; dtype &gt; transpose() const</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:4652</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html"><div class="ttname"><a href="classnc_1_1_nd_array.html">nc::NdArray&lt; double &gt;</a></div></div>
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<div class="ttc" id="anamespacenc_html_af0f49663fb63332596e2e6327009d581"><div class="ttname"><a href="namespacenc.html#af0f49663fb63332596e2e6327009d581">nc::uint32</a></div><div class="ttdeci">std::uint32_t uint32</div><div class="ttdef"><b>Definition:</b> Types.hpp:40</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a0049b5d6d1d99463edc773f01eb7c091"><div class="ttname"><a href="classnc_1_1_nd_array.html#a0049b5d6d1d99463edc773f01eb7c091">nc::NdArray::numCols</a></div><div class="ttdeci">uint32 numCols() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:3475</div></div>
<div class="ttc" id="a_nd_array_8hpp_html"><div class="ttname"><a href="_nd_array_8hpp.html">NdArray.hpp</a></div></div>
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<div class="ttc" id="aclassnc_1_1_nd_array_html_aa16bc96e4bbafbc8a06743f3e4a10a6a"><div class="ttname"><a href="classnc_1_1_nd_array.html#aa16bc96e4bbafbc8a06743f3e4a10a6a">nc::NdArray::cend</a></div><div class="ttdeci">const_iterator cend() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:1487</div></div>
<div class="ttc" id="anamespacenc_html_a5edb9ac6f596ae1256faa3f5d797dc84"><div class="ttname"><a href="namespacenc.html#a5edb9ac6f596ae1256faa3f5d797dc84">nc::Axis</a></div><div class="ttdeci">Axis</div><div class="ttdoc">Enum To describe an axis.</div><div class="ttdef"><b>Definition:</b> Types.hpp:46</div></div>
<div class="ttc" id="anamespacenc_html_ae197a8efaeeebe00c6e886b779ec1a43"><div class="ttname"><a href="namespacenc.html#ae197a8efaeeebe00c6e886b779ec1a43">nc::stdev</a></div><div class="ttdeci">NdArray&lt; double &gt; stdev(const NdArray&lt; dtype &gt; &amp;inArray, Axis inAxis=Axis::NONE)</div><div class="ttdef"><b>Definition:</b> stdev.hpp:53</div></div>
<div class="ttc" id="anamespacenc_html"><div class="ttname"><a href="namespacenc.html">nc</a></div><div class="ttdef"><b>Definition:</b> Coordinate.hpp:44</div></div>
<div class="ttc" id="asqr_8hpp_html"><div class="ttname"><a href="sqr_8hpp.html">sqr.hpp</a></div></div>
<div class="ttc" id="a_error_8hpp_html_af2aff1172060367b9c5398fa097fa8fd"><div class="ttname"><a href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a></div><div class="ttdeci">#define THROW_INVALID_ARGUMENT_ERROR(msg)</div><div class="ttdef"><b>Definition:</b> Error.hpp:36</div></div>
<div class="ttc" id="aclassnc_1_1_nd_array_html_a0bee49339bdc4d7edbeb5efa73133cc3"><div class="ttname"><a href="classnc_1_1_nd_array.html#a0bee49339bdc4d7edbeb5efa73133cc3">nc::NdArray::cbegin</a></div><div class="ttdeci">const_iterator cbegin() const noexcept</div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:1143</div></div>
<div class="ttc" id="anamespacenc_1_1utils_html_ae792e10a24b7e5b8291a6c31a28a4512"><div class="ttname"><a href="namespacenc_1_1utils.html#ae792e10a24b7e5b8291a6c31a28a4512">nc::utils::sqr</a></div><div class="ttdeci">constexpr dtype sqr(dtype inValue) noexcept</div><div class="ttdef"><b>Definition:</b> sqr.hpp:44</div></div>
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